论文标题
通过纸箱 - 哈达马德歧管翻译孤子
Translating solitons over Cartan-Hadamard manifolds
论文作者
论文摘要
我们证明了cartan-hadamard歧管上平均曲率流（所谓的碗孔）的整个图形翻译器的存在结果。我们表明，整个孤子的渐近行为在很大程度上取决于歧管的曲率，并且如果曲率足够快地减去无穷大，也存在有限的溶液。此外，在某些条件下，甚至可以解决渐近的迪里奇问题。
We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan-Hadamard manifolds. We show that the asymptotic behaviour of entire solitons depends heavily on the curvature of the manifold, and that there exist also bounded solutions if the curvature goes to minus infinity fast enough. Moreover, it is even possible to solve the asymptotic Dirichlet problem under certain conditions.
